Answer:
[tex]v = {15}^{o} \\ [/tex]
Step-by-step explanation:
[tex]9v = {31}^{o} + (4v + {44}^{o}) \\ [/tex]
An exterior angle of a triangle is equal to the sum of its two interior opposite angles.
[tex]9v = {31}^{o} + (4v + {44}^{o} ) \\ 9v = {31}^{o} + 4v + {44}^{o} \\ 9v = {75}^{o} + 4v \\ 9v - 4v = {75}^{o} \\ 5v = {75}^{o} \\ v = \frac{ {75}^{o} }{5} \\ v = {15}^{o} \\ [/tex]
